You have each source connected to a pre-amp, and each of those goes to another pre-amp? OK.
What you have to understand is gain staging. Every connection stage has to work at optimum - so assuming the first interface is the 'highest quality' one, you set the gain stage there to be at the optimum settings to maximise gain, without going into distortion. The output then goes to the next pre-amp in your change and you repeat the process.
The sound quality will then be at the best in terms of noise and distortion, unless you are unlucky, and the performance of one of them to get it's best performance put the other in it's most noisy state? Remember it is common for many interfaces to take in a high level input at line level, reduce it to mic level internally, then amplify that!
Many two pre-amp chains produce worse performance than using one.
If the external preamps are special, boutique or somehow wonderful, and what they do to the signal distorts it in some nice way you want, then if this works for you, great. My experience of cascading preamps is pretty well that the results are less good.
I don't own (or want) any external preamps. I have interfaces that sound great, and if I want I can get a 32 channel nice digital desk out and multitrack with that. There seems little point as all the interfaces I own, do what I need. I could buy something clever and hyped, with tubes and a vintage pedigree, but I don't subscribe to that. I others do, and that is fine - but I've never been able to see that route economically sensible and for me, distortion and noise matter more than all those descriptive words enthusiasts of the clever gear seem to use.